Basic Statistics207810 marksNumerical: normal distribution probabilityStandard normal distribution and Z-scores
Define standard normal distribution. For a certain type of computers, the length of time between charges of the battery is normally distribbuted with a mean of 50 hours and a standard deviation of 15 hours. He owns one of these computers and wants to know the probability that the length of time will
Define standard normal distribution. For a certain type of computers, the length of time between charges of the battery is normally distribbuted with a mean of 50 hours and a standard deviation of 15 hours. He owns one of these computers and wants to know the probability that the length of time will be (i) between 50 and 70 hours, (ii) more than 60 hours, and (iii) less than 45 hours?[10]
- Mean $\mu = 50$ hours - Standard deviation $\sigma = 15$ hours - $X \sim N(50, 15^2)$, normally distributed - Required: - (i) $P(50 \le X \le 70)$ - (ii) $P(X 60)$ - (iii) $P(X < 45)$ The standard normal distribution is a normal distribution with mean $\mu = 0$ and standard deviation